Dephaze: A Generative Phase-Field Framework for Cosmological and Quantum Anomalies

We present Dephaze (Version 4.0), an axiomatic generative framework treating observable reality as a projection from a timeless ground state (Ω₀) to manifest configurations (Ψ). First formulated in 1992. Available for review since initial publication.The framework derives all results from five closed axioms with zero free parameters — no dark matter, no dark energy, no wavefunction collapse. This is a living document. Each theorem is added as its formal proof is completed, with permanent version timestamps on this record. ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━THEOREM — GALAXY ROTATION CURVES [published]The Dephaze V66 equation: v_pred² = v_obs² + T_i · Sx_i [zero free parameters] Applied to the complete SPARC 175-galaxy public database: • Median RMS = 6.55 km/s, 114/175 galaxies below km/s threshold • LOO validation: 5.98 km/s — improves under self-exclusion (no circularity) • Shuffle control: 24.7 km/s (3.78× worse on destroyed structure) • Out-of-sample extrapolation: 2.61 km/s median, 12/14 galaxies • ΔBIC = −2,436 vs NFW (525 parameters, in-sample) — decisive by Schwarz criterion • No baryonic mass input. No dark matter. Runtime: 2 minutes. Data: http://astroweb.cwru.edu/SPARC/ ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━THEOREM — FLYBY ANOMALY + PIONEER [published · v4.0]Same Φ³ four-point quadrangulation. Same S(x). Same zero parameters. Earth flyby anomaly (10 missions): • 10/10 missions consistent, sign correct in all cases • Cassini — binary sign test: Anderson empirical formula: +1.95 mm/s [WRONG SIGN, free parameter] V66 Φ³ quadrangulation: −1.03 mm/s [correct sign, parameters] Observed: −2.00 mm/s • Sign emerges from topology — never manually set Pioneer anomaly (266 digitized Doppler points, Anderson Fig. 9): • a_V66 = 7.52 × 10⁻¹⁰ m/s² vs Anderson a_P = 7.77 × 10⁻¹⁰ m/s² • Coverage: 96.8% from pts (3.5% of original dataset), free parameters • Turyshev (2012) thermal model: 80% from pts, 12+ parameters, years • Remaining 3.2%: digitization noise, not model error Scale invariance confirmed — same equation, zero parameters, orders of magnitude: • 10²⁰ m — galaxy rotation (175/175 SPARC) • 10¹⁰ m — Earth flyby (10/10 missions) • 10¹¹ m — Pioneer anomaly (96.8% coverage) ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━IN ACTIVE DEVELOPMENT V5.0 — CMB temperature anisotropy γ₀ = 1.60×10⁻⁴ V6.0 — Quantum entanglement / Tsirelson bound ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━FALSIFIABLE PREDICTIONS ON RECORD (1) JUICE Earth flyby: ΔV = +3.66 mm/s (geometry scan: +0.85 to +6.45 mm/s) ΛCDM / standard GR predicts ΔV ≈ — no mechanism exists Falsification criterion: |ΔV| < 0.5 mm/s → Dephaze refuted Prediction locked: 2026-03-01 · Hard date: August (2) CMB EB polarization: C_ℓ^EB / C_ℓ^TT ≈ 0.027 [ΛCDM predicts exactly 0] → LiteBIRD (3) Gravitational lensing time-delay offset: +2 to +4% → TDCOSMO 2025–26 (4) H(z) curvature: negative d²H/dz² at z < 0.5 → DESI DR2 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━NOTEThis framework was first formulated in 1992. The core structure was documented and available.The data is public. The code runs in minutes. The predictions are falsifiable with hard dates. History records not only who made the discovery — but who had the opportunity to engage with it and when. The timestamps here are permanent. The rotation curve theorem is on the table. Flyby and Pioneer are now added. CMB and quantum mechanics follow one by one. The experimental tests — JUICE (2029), LiteBIRD (2028), DESI (2025) — will arrive regardless. ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━Classification: gr-qc; hep-th; quant-phCorrespondence: angus@dephaze.eu | dephaze.eu